from numpy import *
zData = array([ 2.48366013,  2.54901961,  2.61437908,  2.67973856,  2.74509804,
        2.81045752,  2.87581699,  2.94117647,  3.00653595,  3.07189542,
        3.1372549 ,  3.20261438,  3.26797386,  3.33333333,  3.39869281,
        3.46405229,  3.52941176,  3.59477124,  3.66013072,  3.7254902 ,
        3.79084967,  3.85620915,  3.92156863,  3.9869281 ,  4.05228758,
        4.11764706,  4.18300654,  4.24836601,  4.31372549,  4.37908497,
        4.44444444,  4.50980392,  4.5751634 ,  4.64052288,  4.70588235,
        4.77124183,  4.83660131,  4.90196078,  4.96732026,  5.03267974,
        5.09803922,  5.16339869,  5.22875817,  5.29411765,  5.35947712,
        5.4248366 ,  5.49019608,  5.55555556,  5.62091503,  5.68627451,
        5.75163399,  5.81699346,  5.88235294,  5.94771242,  6.0130719 ,
        6.07843137,  6.14379085,  6.20915033,  6.2745098 ,  6.33986928,
        6.40522876,  6.47058824,  6.53594771,  6.60130719,  6.66666667,
        6.73202614,  6.79738562,  6.8627451 ,  6.92810458,  6.99346405,
        7.05882353,  7.12418301,  7.18954248,  7.25490196,  7.32026144,
        7.38562092,  7.45098039,  7.51633987,  7.58169935,  7.64705882,
        7.7124183 ,  7.77777778,  7.84313725,  7.90849673,  7.97385621,
        8.03921569,  8.10457516,  8.16993464,  8.23529412,  8.30065359,
        8.36601307,  8.43137255,  8.49673203,  8.5620915 ,  8.62745098,
        8.69281046,  8.75816993,  8.82352941,  8.88888889,  8.95424837,
        9.01960784,  9.08496732,  9.1503268 ,  9.21568627,  9.28104575,
        9.34640523,  9.41176471,  9.47712418,  9.54248366])
alphasData = array([ 0.5046172 ,  0.51226814,  0.52388062,  0.54253272,  0.56002043,
        0.57348531,  0.58443779,  0.58344348,  0.57304945,  0.5557779 ,
        0.53469547,  0.51128047,  0.49038335,  0.47736993,  0.4772912 ,
        0.48613011,  0.49834204,  0.51155588,  0.52308532,  0.5329939 ,
        0.53868952,  0.54064241,  0.5375283 ,  0.52766685,  0.5174465 ,
        0.50544434,  0.49389126,  0.4864515 ,  0.48629442,  0.49366087,
        0.50805599,  0.52599695,  0.54307099,  0.55499335,  0.55989816,
        0.55776025,  0.54845714,  0.53614654,  0.52124182,  0.50657195,
        0.49456883,  0.48583609,  0.48265908,  0.48568332,  0.49443324,
        0.50793791,  0.52486548,  0.54169568,  0.5544221 ,  0.56002623,
        0.5562887 ,  0.5425574 ,  0.52213226,  0.500436  ,  0.48028134,
        0.4641239 ,  0.45301304,  0.44728913,  0.44628308,  0.44925339,
        0.45519523,  0.46239793,  0.46966561,  0.4740174 ,  0.47185341,
        0.46119903,  0.44138215,  0.41377148,  0.38101508,  0.34678851,
        0.3132361 ,  0.28215449,  0.2543112 ,  0.22988094,  0.20907622,
        0.19219254,  0.17924567,  0.1695847 ,  0.16199408,  0.15504848,
        0.14756032,  0.13906461,  0.12934315,  0.11866579,  0.10764874,
        0.09700555,  0.08690017,  0.0773169 ,  0.06831156,  0.05993213,
        0.05238007,  0.04579115,  0.04008645,  0.03508413,  0.03061402,
        0.0265941 ,  0.02293822,  0.01959042,  0.01653656,  0.01377699,
        0.01132335,  0.00917354,  0.0073393 ,  0.00580755,  0.0045244 ,
        0.00346685,  0.00261227,  0.00194493,  0.00143133])
usData = array([  1.23502690e-04,   1.31195680e-04,   1.57470210e-04,
         1.71027280e-04,   1.81200370e-04,   1.83694970e-04,
         1.81261390e-04,   1.79387760e-04,   1.81396240e-04,
         1.89638470e-04,   2.06923250e-04,   2.32725200e-04,
         2.62505840e-04,   2.94988850e-04,   3.24570640e-04,
         3.53877640e-04,   3.94443130e-04,   4.37602170e-04,
         4.75908550e-04,   5.10095490e-04,   5.34748080e-04,
         5.45805420e-04,   5.55180720e-04,   5.77110430e-04,
         6.13283150e-04,   6.71062740e-04,   7.58822550e-04,
         8.75724190e-04,   1.01541800e-03,   1.15989610e-03,
         1.29460420e-03,   1.41483370e-03,   1.52768170e-03,
         1.63763040e-03,   1.74461190e-03,   1.83765100e-03,
         1.92436960e-03,   2.01219400e-03,   2.13950340e-03,
         2.32916870e-03,   2.59259080e-03,   2.96056600e-03,
         3.42859720e-03,   3.97389320e-03,   4.56246580e-03,
         5.12976560e-03,   5.63158300e-03,   6.06266410e-03,
         6.44196670e-03,   6.78798550e-03,   7.13755490e-03,
         7.55058080e-03,   8.09798570e-03,   8.85392420e-03,
         9.91822630e-03,   1.13627590e-02,   1.32440560e-02,
         1.55353650e-02,   1.81165590e-02,   2.08450760e-02,
         2.35978580e-02,   2.62765190e-02,   2.87802150e-02,
         3.11168790e-02,   3.33835580e-02,   3.57248170e-02,
         3.83646630e-02,   4.15697970e-02,   4.56183760e-02,
         5.07671880e-02,   5.73698380e-02,   6.57669230e-02,
         7.62996540e-02,   8.92153260e-02,   1.04456210e-01,
         1.21556070e-01,   1.39507840e-01,   1.57139260e-01,
         1.73668550e-01,   1.89089370e-01,   2.03788340e-01,
         2.18056830e-01,   2.32505780e-01,   2.47390870e-01,
         2.62377860e-01,   2.76594480e-01,   2.89949470e-01,
         3.03023510e-01,   3.15903890e-01,   3.28855170e-01,
         3.41467940e-01,   3.53286460e-01,   3.64081700e-01,
         3.73937150e-01,   3.82969100e-01,   3.91288760e-01,
         3.99086560e-01,   4.06637650e-01,   4.14074800e-01,
         4.21336910e-01,   4.28544680e-01,   4.35403680e-01,
         4.41416290e-01,   4.46874160e-01,   4.52121170e-01,
         4.57144320e-01,   4.62375740e-01,   4.67121200e-01,
         4.71449160e-01])
